R. Tauraso

activity

20052026

most citedConstraining spacetime torsion with the Moon and Mercury

49 citations · 203 across the 42 of their papers we have counts for

collaborators

Showing 2009 · math.NTShow all

6 papers · 2 filters

math.NT2009★ 7 cited

New harmonic number identities with applications

Roberto Tauraso

We determine the explicit formulas for the sum of products of homogeneous multiple harmonic sums $\sum_{k = 1}^{n} \prod_{j = 1}^{r} H_{k} ({1}^{λ_{j}})$ when $\sum_{j = 1}^{r} λ_{j} \leq 5$ . We app…

math.NT2009★ 16 cited

An elementary proof of a Rodriguez-Villegas supercongruence

Roberto Tauraso

We give a short proof of the following known congruence: for every odd prime $p$ $k = 0 \sum p - 1 (k 2 k)^{2} 1 6^{- k} \equiv (- 1)^{\frac{p - 1}{2}} (mod p^{2}) .$ Moreover, we provide…

math.NT2009

Congruences of multiple sums involving invariant sequences under binomial transform

Roberto Tauraso

We will prove several congruences modulo a power of a prime such as $$ \sum_{0<k_1<...<k_{n}<p}\leg{p-k_{n}}{3} {(-1)^{k_{n}}\over k_1... k_{n}}\equiv {lll} -{2^{n+1}+2\over 6^{n+1…

math.NT2009★ 6 cited

Congruences of alternating multiple harmonic sums

Roberto Tauraso, Jianqiang Zhao

In this sequel to arXiv:0905.3327, we continue to study the congruence properties of the alternating version of multiple harmonic sums. As contrast to the study of multiple harmoni…

math.NT2009★ 7 cited

Congruences involving the reciprocals of central binomial coefficients

Roberto Tauraso

We present several congruences modulo a power of prime $p$ concerning sums of the following type $\sum_{k = 1}^{p - 1} \frac{m ^{k}}{k ^{r}} (k 2 k)^{- 1}$ which reveal some interesting co…

math.NT2009★ 4 cited

Congruences involving alternating multiple harmonic sum

Roberto Tauraso

We show that for any prime prime $p \neq = 2$ $k = 1 \sum p - 1 \frac{( - 1 ) ^{k}}{k} (k - \frac{1}{2}) \equiv - k = 1 \sum (p - 1) /2 \frac{1}{k} (mod p^{3})$ by expressing the l.h.s. as…